Atkin-Lehner |
2+ 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350k |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-2136160000000000 = -1 · 214 · 510 · 132 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11850,2172500] |
[a1,a2,a3,a4,a6] |
Generators |
[-30205:246665:343] |
Generators of the group modulo torsion |
j |
11776099630751/136714240000 |
j-invariant |
L |
6.4352345500134 |
L(r)(E,1)/r! |
Ω |
0.3419668846947 |
Real period |
R |
4.7045743594416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10270c1 |
Quadratic twists by: 5 |